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Finding the Fourth Proportional to 154,037, 212,571.06 and 83,381

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Solution

The fourth proportional to 154,037, 212,571.06 and 83,381 is: 115,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,037 : 212,571.06 = 83,381 : x
  2. Step 2: Convert to fraction form
    154,037/212,571.06 = 83,381/x
  3. Step 3: Cross multiply
    154,037x = 212,571.06 × 83,381
  4. Step 4: Simplify right side
    154,037x = 17,724,387,553.86
  5. Step 5: Solve for x
    x = 17,724,387,553.86/154,037
  6. Step 6: Final answer
    x = 115,065.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.